I think I have a working strategy. 

Step 1:

>!Play as X.

Step 2:

>!Before your first turn, ask this: "If my opponent wins, will it be along a horizontal line?" 

Step 3: 

>!Regardless of the answer, play in the centre. 

Step 4:

>!After the opponent's first move, play in a corner. This leaves 4 possible board states (removing reflections and rotations). Lines where the O player can win are marked in red. [![the four possible board states after one turn from both players][2]][2]

>!Now note that regardless of which possibility is true, the O player has only two lines they can win on. Additionally, one of these has become unplayable due to the question. Regardless of what O plays here, X always has a move which blocks O's final possible win line.

  [2]: https://i.sstatic.net/zkmByX5n.png